Question
Give the first four terms of the sequences for which $a_{n}$ is given.$$a_{n}=\frac{n^{2}+1}{2 n+1}, \quad n=0,1,2, \dots$$
Step 1
For n=0, we have: $$a_0 = \frac{0^2 + 1}{2(0) + 1} = \frac{1}{1} = 1$$ For n=1, we have: $$a_1 = \frac{1^2 + 1}{2(1) + 1} = \frac{2}{3}$$ Show more…
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